Summary
High shear capillary viscometry at 37.8°C (100°F) of concentrated solutions of a series of polyalkylmethacrylate viscosity index improvers in a petroleum lubricating oil is reported. Viscosity average molecular weights of the four polymers varied from 355 000–1650 000 and solution concentrations varied from 2–20 wt.-%. An approximating function based on the error function was computerfit to the complete flow curves by correlating the distribution of apparent viscosity with the product (\(\dot \gamma \)τ), the rate of viscous energy dissipation. This gave an estimate of the secondNewtonian viscosity (η ∞ ) and two parameters of the approximating function. The fourth quantity required to completely define the flow curve is the low shear or firstNewtonian viscosity (η 0 ). Representation of the original data was within 2%, by this technique.
The parameters of the flow function — the energy level at the inflection point and the slope of the transformed flow function — were found to vary in a regular manner with both molecular weight of the polymer and polymer concentration, expressed as relative viscosity (η rel). The limiting asymptotes of the approximating function —η 0 andη ∞ — could not be treated according to the conventionalHuggins equation, but they were fit adequately by theMartin equation: log(η sp/C)=log[η]+K[η]C. The intrinsic viscosities thus determined for both low shear ([η M ]0) and high shear ([η M ]0) demonstrate aMark-Houwink relationship, i.e., [η M ]0=5.668×10−5 M 0.660 v and [η M ]∞=2.574×10−5 M 0.0669 v so that ([η M ]∞≈[η M ]0/2) over the range studied. The relationship of these results to other reports of high shear viscometry of polymer solutions is discussed.
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Abbreviations
- η :
-
Apparent viscosity at experimental conditions, centipoise
- [η M ]:
-
Intrinsic viscosity via extrapolation ofMartin equation, dl/g
- \(\dot \gamma \) :
-
Shear rate, sec−1
- τ :
-
Stress level, dynes/cm2
- Ê:
-
Energy level at inflection point (\(\dot \gamma \)τ), dynes/cm2 sec
- 0:
-
Limiting low shear rate (1stNewtonian) condition.
- ∞:
-
Limiting high shear rate (2ndNewtonian) condition
- s :
-
Refers to solvent
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Talbot, A.F. High shear viscometry of concentrated solutions of poly (alkylmethacrylate) in a petroleum lubricating oil. Rheol Acta 13, 305–317 (1974). https://doi.org/10.1007/BF01520893
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DOI: https://doi.org/10.1007/BF01520893